Answer:
The graph will show an initial value that is lower on the y-axis
Step-by-step explanation:
The exponential function has the next general form:

where <em>a</em> is the initial amount and <em>b</em> is the base.
If the <em>a</em> value in the function is decreased, but remains greater than 0, the y-intercept of the curve decrease.
In Cartesian coordinates, the region is given by

,

, and

. Converting to cylindrical coordinates, using

we get a Jacobian determinant of

, and the region is given in cylindrical coordinates by

,

, and

.
The volume is then
Answer:
It is not equivalent.
Step-by-step explanation:
You have to expand the brackets :
(x-4)(x+3)
= x(x) + x(3) - 4(x) - 4(3)
= x² + 3x - 4x - 12
= x² - x - 12
Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.
Width of the rectangle is 13 ft and length of the rectangle is 33 ft
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14
⇒ 92 = 6x + 14
⇒ 78 = 6x
⇒ x = 78/6
∴ x = 13 ft
⇒ Width of the rectangle = 13 ft
∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft
Answer:
Ohh .........................